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- Rewrite each rule as a stretch or compression of its parent, with the factor.y = \dfrac{x^2}{5}y = \dfrac{3}{4x}y = \dfrac{\sqrt{x}}{0.25}y = \left(\dfrac{x}{3}\right)^3
- Fill in the blanks of a table for a vertical stretch, find the factor and name the move.
- Find the stretch factor from the width at a given height, and a width at another height.
- Find the domain and range after horizontal and vertical scaling of a function.
- Test Diego's claim about a vertical stretch of the cube function.
- Undo a stretch, and describe a compression of the square root.
- Scale the graph in the figure vertically and read off the new points.
- Word problem: Maya's hiking trail height profile on a park map.
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Stretches and compressions: the lesson ›More Chapter 1 worksheets: Parent functions and transformations
- 1.1The squaring and cubing functions
- 1.2The square root and reciprocal functions
- 1.3Shifting a graph up, down, left and right
- 1.4Reflecting a graph across the axes
- 1.5Stretches and compressions
- 1.6Combining transformations and the general form
- 1.7Graphing by transforming a parent graph
- 1.8Finding the rule of a transformed graph or table
- 1.9Transforming the absolute value graph
- 1.10Symmetry about the vertical axis and the origin
- 1.11Even and odd functions
- 1.12Linear functions in context
- 1.13Domain and range from a graph